GenMath Q1
It is a function in which more than one formula is used to define the output over different pieces of the domain.
Piecewise Function
It is a form of long-term investment issued by a corporation or government where the purchaser becomes a creditor of the company.
Bonds
These are random variables that take an interminably uncountable number of potential values, regularly measurable amounts.
Continuous Random Variable
It is a hypothesis which shows that observations are the result of a real effect. It is also denoted by Ha
Alternative Hypothesis
A logarithmic function is a function of the form _____
f(x)=logxb
These are assets used to secure the loan. It may be real estate or other investments.
Collateral
How possible outcomes will occur on rolling two 6-sided dice?
36 outcomes
It is the set of all values of the test statistic that causes us to reject the null hypothesis.
Rejection Region
Determine the domain of f(x)=x+3/(x-3)
(-∞, 3)∪(3+∞) 𝐷 ={ 𝑥 |𝑥 ∈ ℝ, 𝑥 ≠ 3}
A bank offered 5% quarterly compounding interest for an investment of Php150,000.00. Compute for the amount after 5 years. (Round the answer to 2 decimal places)
Php192,305.58
It is known as the 68% - 95% - 99.70% rule
Empirical Rule
What is the test statistic used when under the assumption that the population is normally distributed and 𝜎 is known?
z-test
Solve for x
150=36x-66
x=3/2
A certain financial institution declared a Php40,000,000.00 dividend for the common stocks. If there is a total of 800,000 shares of common stocks, how much is the dividend per share?
Php50.00 Dividend per share
You have bought 1 tickets out of 1000 released raffle tickets which costs Php100.00. If you are lucky enough, you'll win LED television worth Php15,000.00. How much money will he gain/lose on average?
E(x)=-85.00, He will lose Php85.00 per ticket
What is the type of data that involves one set of variable?
Univariate data.
A radioactive material has a half-life of 10 years. If its current mass is 5120 kg initially, how many years will it take for it to reach the weight of 5 kg?
10 years
Cahrl dreamt of providing a simple and decent shelter for his family. He went to the bank and applied for ₱1,000,000.00 loan. The bank approved his application with the following terms: 10% down payment, 12% total interest, and must be paid in full after 5 years. How much should he have paid after 5 years?
Php1,586,107.51
A HUMSS student is conducting a research on the awareness of SHS learners on the names of the Philippine Presidents. Given a margin of error of 4 with a standard deviation of 9 having a 99% confidence level. What should be the minimum sample size that the student-researchers need to estimate the population mean?
The minimum sample size needed is at least 34
It is used to measure the strength of association between bivariate data.
Pearson's Sample correlation coefficient (or Pearson's Correlation Coefficient, Pearson's)